Reconstruction of the interface between media on the ground of tomography data
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 10, pp. 1542-1555 Cet article a éte moissonné depuis la source Math-Net.Ru

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I. V. Prokhorov. Reconstruction of the interface between media on the ground of tomography data. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 10, pp. 1542-1555. http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_10_a7/

[1] Germogenova T. A., Lokalnye svoistva reshenii uravneniya perenosa, Nauka, M., 1986 | MR | Zbl

[2] Vladimirov B. C., “Matematicheskie zadachi odnoskorostnoi teorii perenosa chastits”, Tr. MI AN SSSR, 61, 1961, 3–158

[3] Anikonov D. S., Kovtanyuk A. E., Prokhorov I. V., Ispolzovanie uravneniya perenosa v tomografii, Logos, M., 2000

[4] Prokhorov I. V., “Nekotorye svoistva reshenii uravneniya perenosa”, Dalnevostochnyi matem. sb., 2 (1996), 161–173 | MR

[5] Prokhorov I. V., “Kraevaya zadacha teorii perenosa izlucheniya v neodnorodnoi srede s usloviyami otrazheniya na granitse”, Differents. ur-niya, 36:6 (2000), 848–851 | MR | Zbl

[6] Kireitov V. R., Obratnye zadachi fotometrii, Izd-vo VTs SO AN SSSR, Novosibirsk, 1983

[7] Anikonov D. S., “Zadacha tipa Stefana dlya uravneniya perenosa”, Dokl. RAN, 338:1 (1994), 25–28 | Zbl

[8] Anikonov D. S., Nazarov V. G., Prokhorov I. V., “Vidimye i nevidimye sredy v tomografii”, Dokl. RAN, 357:5 (1997), 599–603 | MR | Zbl

[9] Anikonov D. S., “Integra-differential heterogeneity indicator in tomography problem”, J. Inv. Ill-Posed Problems, 7:1 (1999), 17–59 | DOI | MR | Zbl

[10] Anikonov D. S., Kovtanyuk A. E., Prokhorov I. V., “Tomography through the transport equation”, Proc. IMA Vol. in Math. and its Applic., 110, Springer, New York, 1999, 33–44 | MR | Zbl

[11] Anikonov D. S., Prokhorov I. V., “Znachenie koeffitsienta pogloscheniya izlucheniya v diagnostike rasseivayuschikh i pogloschayuschikh sred”, Dokl. RAN, 368:1 (1999), 24–26 | MR | Zbl

[12] Shilov G. E., Gurevich B. L., Integral, mera i proizvodnaya, Nauka, M., 1964 | MR

[13] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1981 | MR

[14] Born M., Volf E., Osnovy optiki, Nauka, M., 1973

[15] Isimaru A., Rasprostranenie i rasseyanie voln v sluchaino-neodnorodnykh sredakh, v. 1, 2, Mir, M., 1981

[16] Katsevich A. I., Ramm A. G., “A Method for finding discontinuities of functions from the tomographic data”, Lect. Appl. Math., 30, 1993, 115–123 | MR

[17] Ramm A. G., Zaslavsky A., “X-ray transform, the Legendre transform and envelopes”, J. Math. Analys. and Appl., 183:3 (1994), 528–546 | DOI | MR | Zbl

[18] Katsevich A. I., Ramm A. G., The Radon transform and local tomography, CRC Press, Boca Raton, 1996 | MR | Zbl